Question

The vertex form of a function is g(x) = (x – 3)^2 + 9. How does the graph of g(x) compare to the graph of the function
f(x) = x^2?

g(x) is shifted 3 units left and 9 units up.
g(x) is shifted 3 units right and 9 units up.
g(x) is shifted 9 units left and 3 units down.
g(x) is shifted 9 units right and 3 units down.

Answer 1

$f(x)=x^2\\\\f(x)=(x-0)^2+0\\\\g(x)=(x-3)^2+9$

x moves from 0 to 3 ⇒ 3 units right
y moves from 0 to 9 ⇒ 9 units up

Answer B.